Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-20T00:48:04.050Z Has data issue: false hasContentIssue false

Relaxation mapping analysis with an hyperbolic heating rate

Published online by Cambridge University Press:  11 February 2011

C. J. Dias*
Affiliation:
Universidade Nova de Lisboa, FCT, CENIMAT-Dept. Ciencia de Materiais, Torre, 2829–516 Monte de Caparica, PORTUGAL
Get access

Abstract

Thermally stimulated discharge currents (TSDC) together with the Relaxation Map Analysis (RMA) method is a convenient method to study relaxation processes in complex materials. In the RMA technique, one performs repeated TSDC runs while selecting polarization states through the use of a fixed polarization time schedule and a sucessively higher polarization temperature. Each peak has an associated polarization strength and a pair of activation parameters which can be the Gibbs free activation energy and the activation entropy. In the present paper we propose a different approach to RMA. It consists of a global heating of the sample in an hyperbolic manner to determine the activation parameters as a function of temperature. This determination is done by first selecting a value for the activation entropy for each temperature and then calculating the implied activation enthalpy or Gibbs free energy.

We have reasoned that normal relaxation processes usually proceed with a null or close to zero activation entropy and that only relaxations associated to the glass transitionand/or cooperative phenomena involve large values of the activation entropy. In those cases and based on the curvature of the TSDC curve one can select a minimum activation entropy value which will fit the TSDC curve at a particular temperature. Using this data one determines the polarization strength associated to each pair of activation parameters. Results for the TSDC relaxation parameters spectra of a liquid crystal polymer will be presented together with comparisons between the thermal sampling method and the proposed method.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Braunlich, P., ed. Thermally Stimulated Relaxation in solids. Topics in Applied Physics, vol. 37. 1990, Springer Verlag, Berlin Google Scholar
[2]van Turnhout, J., “Thermally Stimulated Discharge of Electrets”, in Electrets, edited by Sessler, G.M., (Springer, New York, 1980), pp. 81215.Google Scholar
[3]Mano, J., “Mecanismos de relaxação em polímeros liquidos cristalinos de cadeia lateral”, PhD Thesis, Instituto Superior Técnico, Lisboa-Portugal, 1996.Google Scholar
[4] Adam Abramovitz, M. and Stegun, I. A., “Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables”, pp 228231, Dover Publications Inc. New York 1970.Google Scholar
[5]Dias, C. J., Physical Review B 53 (21), pp. 142114222, (1996).Google Scholar